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Simplifying in(x + -8) + -1inx = in(3 + -1x) Reorder the terms: in(-8 + x) + -1inx = in(3 + -1x) (-8 * in + x * in) + -1inx = in(3 + -1x) (-8in + inx) + -1inx = in(3 + -1x) Combine like terms: inx + -1inx = 0 -8in + 0 = in(3 + -1x) -8in = in(3 + -1x) -8in = (3 * in + -1x * in) -8in = (3in + -1inx) Solving -8in = 3in + -1inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3in' to each side of the equation. -8in + -3in = 3in + -3in + -1inx Combine like terms: -8in + -3in = -11in -11in = 3in + -3in + -1inx Combine like terms: 3in + -3in = 0 -11in = 0 + -1inx -11in = -1inx Add 'inx' to each side of the equation. -11in + inx = -1inx + inx Combine like terms: -1inx + inx = 0 -11in + inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(-11 + x) = 0Subproblem 1
Set the factor 'in' equal to zero and attempt to solve: Simplifying in = 0 Solving in = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Add '-1x' to each side of the equation. x + -1x = 11 + -1x Combine like terms: x + -1x = 0 0 = 11 + -1x Simplifying 0 = 11 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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